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Finding the Fourth Proportional to 27,166.99, 40,756.25 and 8,446.57

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Solution

The fourth proportional to 27,166.99, 40,756.25 and 8,446.57 is: 12,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166.99 : 40,756.25 = 8,446.57 : x
  2. Step 2: Convert to fraction form
    27,166.99/40,756.25 = 8,446.57/x
  3. Step 3: Cross multiply
    27,166.99x = 40,756.25 × 8,446.57
  4. Step 4: Simplify right side
    27,166.99x = 344,250,518.56
  5. Step 5: Solve for x
    x = 344,250,518.56/27,166.99
  6. Step 6: Final answer
    x = 12,671.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.